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What is the Least Common Multiple of 95555 and 95562?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 95555 and 95562 is 9131426910.

LCM(95555,95562) = 9131426910

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Least Common Multiple of 95555 and 95562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95555 and 95562, than apply into the LCM equation.

GCF(95555,95562) = 1
LCM(95555,95562) = ( 95555 × 95562) / 1
LCM(95555,95562) = 9131426910 / 1
LCM(95555,95562) = 9131426910

Least Common Multiple (LCM) of 95555 and 95562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95555 and 95562. First we will calculate the prime factors of 95555 and 95562.

Prime Factorization of 95555

Prime factors of 95555 are 5, 29, 659. Prime factorization of 95555 in exponential form is:

95555 = 51 × 291 × 6591

Prime Factorization of 95562

Prime factors of 95562 are 2, 3, 5309. Prime factorization of 95562 in exponential form is:

95562 = 21 × 32 × 53091

Now multiplying the highest exponent prime factors to calculate the LCM of 95555 and 95562.

LCM(95555,95562) = 51 × 291 × 6591 × 21 × 32 × 53091
LCM(95555,95562) = 9131426910